Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of Dic10 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×C3×#4047 |
| Fitting | C22×C3×C5×C8 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#131 |
| Sylow | C5 ⋊ C2×C3×#131 |
532 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
312 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×#10600691, C3×#10604726, #14295515, … |
| maximal normal subgroup of | C3×#10600691, C3×#10604726, #14295515, … |
| maximal quotient of | C2×C3×#64978, C2×C3×#65390, C3×C4×#4047, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 9944);